Abstract
We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a universal constant that depends only on the number of singularities, namely 2n for graphs with n+1 singularities. We also give an explicit description of the family of entire maximal graphs with a finite number of singularities, all of them lying on a plane orthogonal to the limit tangent plane at infinity.
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Communicated by Bo Berndtsson.
Research partially supported by Spanish MEC-FEDER Grant MTM2007-65249, and Regional J. Andalucía Grants P06-FQM-01642 and FQM325.
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Fernández, I. The Number of Conformally Equivalent Maximal Graphs. J Geom Anal 20, 955–969 (2010). https://doi.org/10.1007/s12220-010-9133-4
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DOI: https://doi.org/10.1007/s12220-010-9133-4